Modulational instability of dark solitons in three wave resonant interaction

Matteo Conforti (1) , Fabio Baronio (1) , Antonio Degasperis (2)

1 Dipartimento di Ingegneria dell'Informazione [Brescia]
2 INFN - Istituto Nazionale di Fisica Nucleare [Sezione di Roma 1]

We study the propagation of velocity-locked dark triplet solitons in the three wave resonant interaction model. The modulational instability of the plane wave background where the solitons sit prevents the long range propagation. However even a small second order dispersion proves to greatly reduce, or suppress, the modulational instability gain, allowing for effective stable soliton propagation.

Mots clés: Three wave resonant interaction; dark solitons; stability; nonlinear optics

Domaines: Systèmes Solubles et Intégrables [nlin.SI]; Formation de Structures et Solitons [nlin.PS]

Matteo Conforti, Fabio Baronio, Antonio Degasperis. Modulational instability of dark solitons in three wave resonant interaction. Physica D: Nonlinear Phenomena, 2011, 240 (17), pp.1362-1369. ⟨10.1016/j.physd.2011.05.017⟩. ⟨hal-02395368⟩